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102212201312032 = 2571572906397899
BaseRepresentation
bin10111001111011000100001…
…111100110110111100100000
3111101220101120001100221021211
4113033120201330312330200
5101344121042013441112
61001215345334155504
730346405430061520
oct2717304174667440
9441811501327254
10102212201312032
112a627a50a79509
12b5694ab4b2b94
134505752787536
141b35150005680
15bc3b91eaa0a7
hex5cf621f36f20

102212201312032 has 48 divisors (see below), whose sum is σ = 231442277572800. Its totient is φ = 43526214920448.

The previous prime is 102212201312009. The next prime is 102212201312101. The reversal of 102212201312032 is 230213102212201.

It is a super-2 number, since 2×1022122013120322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212201311994 and 102212201312012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1453163782 + ... + 1453234117.

It is an arithmetic number, because the mean of its divisors is an integer number (4821714116100).

Almost surely, 2102212201312032 is an apocalyptic number.

It is an amenable number.

102212201312032 is an abundant number, since it is smaller than the sum of its proper divisors (129230076260768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102212201312032 is a wasteful number, since it uses less digits than its factorization.

102212201312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906398073 (or 2906398065 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102212201312032 its reverse (230213102212201), we get a palindrome (332425303524233).

The spelling of 102212201312032 in words is "one hundred two trillion, two hundred twelve billion, two hundred one million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 314 628 1099 1256 2198 2512 4396 5024 8792 17584 35168 2906397899 5812795798 11625591596 20344785293 23251183192 40689570586 46502366384 81379141172 93004732768 162758282344 325516564688 456304470143 651033129376 912608940286 1825217880572 3194131291001 3650435761144 6388262582002 7300871522288 12776525164004 14601743044576 25553050328008 51106100656016 102212201312032